# How do you find the product d^4*d^6?

Mar 27, 2018

${d}^{10}$

#### Explanation:

Given: ${d}^{4} \cdot {d}^{6}$

Using the algebraic property that ${a}^{b} \cdot {a}^{c} = {a}^{b + c}$, we get,

$= {d}^{4 + 6}$

$= {d}^{10}$

Mar 27, 2018

${d}^{10}$

#### Explanation:

Whenever there's a situation like the following :-

${a}^{n} . {a}^{m}$

That is, the bases are same, the powers are usually added.

$\therefore \textcolor{b l u e}{{a}^{n} . {a}^{m} = {a}^{n + m}}$

The given problem is :-

${d}^{4} . {d}^{6}$

$= {d}^{4 + 6}$

$= {d}^{10}$